Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cj |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
181354829040 = 24 · 33 · 5 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1853,23317] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:242:1] |
Generators of the group modulo torsion |
j |
26047524910707/6716845520 |
j-invariant |
L |
10.349226927898 |
L(r)(E,1)/r! |
Ω |
0.94756935955529 |
Real period |
R |
0.34130835827475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810p2 |
Quadratic twists by: -3 |